An effective equidistribution result in the space of 2-dimensional tori with k marked points
Vortrag von Prof. Dr. Andreas Strömbergsson
Sprecher eingeladen von: Prof. Dr. Claire Burrin
Datum: 24.04.24 Zeit: 13.30 - 14.30 Raum: ETH HG G 19.1
Let X be the homogeneous space Gamma \ G, where G is the semidirect product of SL(2,R) and a direct sum of k copies of R^2, and where Gamma is the subgroup of integer elements in G. I will present a result giving effective equidistribution of 1-dimensional unipotent orbits in the space X. The proof makes use of the delta method in the form developed by Heath-Brown. Joint work with Anders Södergren and Pankaj Vishe.